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Finding the Fourth Proportional to 11,165.84, 15,407.97 and 6,130.05

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Solution

The fourth proportional to 11,165.84, 15,407.97 and 6,130.05 is: 8,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.84 : 15,407.97 = 6,130.05 : x
  2. Step 2: Convert to fraction form
    11,165.84/15,407.97 = 6,130.05/x
  3. Step 3: Cross multiply
    11,165.84x = 15,407.97 × 6,130.05
  4. Step 4: Simplify right side
    11,165.84x = 94,451,626.50
  5. Step 5: Solve for x
    x = 94,451,626.50/11,165.84
  6. Step 6: Final answer
    x = 8,458.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.